GCF and LCM Calculator Logo

What is the Least Common Multiple of 11963 and 11972?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 11963 and 11972 is 143221036.

LCM(11963,11972) = 143221036

LCM Calculator and
and

Least Common Multiple of 11963 and 11972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11963 and 11972, than apply into the LCM equation.

GCF(11963,11972) = 1
LCM(11963,11972) = ( 11963 × 11972) / 1
LCM(11963,11972) = 143221036 / 1
LCM(11963,11972) = 143221036

Least Common Multiple (LCM) of 11963 and 11972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11963 and 11972. First we will calculate the prime factors of 11963 and 11972.

Prime Factorization of 11963

Prime factors of 11963 are 7, 1709. Prime factorization of 11963 in exponential form is:

11963 = 71 × 17091

Prime Factorization of 11972

Prime factors of 11972 are 2, 41, 73. Prime factorization of 11972 in exponential form is:

11972 = 22 × 411 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 11963 and 11972.

LCM(11963,11972) = 71 × 17091 × 22 × 411 × 731
LCM(11963,11972) = 143221036